Example of Three Consecutive Even Integers Problem

The sum of three consecutive even integers is 78. What are the integers.

Find FIRST

Find SECOND

Find THIRD

Let F=FIRST

Let S=SECOND

Let T=THIRD

Given F+S+T=78

Given S=F+2

Given T=F+4

F+F+2+F+4=78 Comment: Expand parentheses

F+F+2+F+4=78 Comment: Substitute F+4 for S in F+F+2+F+4=78

F+F+2+F+4=78 Comment: Substitute F+2 for T in F+F+2+F+4=78

Solution F=24 Comment

Solution S=26 Substitute F=24 into S=F+2

Solution T=28 Substitute F=24 into T=F+4

End